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Finding the Third Proportional to 644,340 and 1,381,992

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Solution

The third proportional to 644,340 and 1,381,992 is: 2,964,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,340 : 1,381,992 = 1,381,992 : x
  2. Step 2: Convert to fraction form
    644,340/1,381,992 = 1,381,992/x
  3. Step 3: Cross multiply
    644,340x = 1,381,992 × 1,381,992
  4. Step 4: Simplify right side
    644,340x = 1,909,901,888,064
  5. Step 5: Solve for x
    x = 1,909,901,888,064/644,340
  6. Step 6: Final answer
    x = 2,964,121.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.